What is the Greatest Common Factor of 97616 and 97627?

Greatest common factor (GCF) of 97616 and 97627 is 1.

GCF(97616,97627) = 1

We will now calculate the prime factors of 97616 and 97627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97616 and 97627.

How to find the GCF of 97616 and 97627?

We will first find the prime factorization of 97616 and 97627. After we will calculate the factors of 97616 and 97627 and find the biggest common factor number .

Step-1: Prime Factorization of 97616

Prime factors of 97616 are 2, 6101. Prime factorization of 97616 in exponential form is:

97616 = 2⁴ × 6101¹

Step-2: Prime Factorization of 97627

Prime factors of 97627 are 233, 419. Prime factorization of 97627 in exponential form is:

97627 = 233¹ × 419¹

Step-3: Factors of 97616

List of positive integer factors of 97616 that divides 97616 without a remainder.

1, 2, 4, 8, 16, 6101, 12202, 24404, 48808

Step-4: Factors of 97627

List of positive integer factors of 97627 that divides 97616 without a remainder.

1, 233, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97616 and 97627. The biggest common factor number is the GCF number.
So the greatest common factor 97616 and 97627 is 1.

Also check out the Least Common Multiple of 97616 and 97627